I have a new job/office space this year, with 7 employees. It is research, but we do see patients daily. I want to spruce up the waiting room, and thought having stockings with each employees name to hang would cheer it up. Is this too Christian-centric? Thoughts?
Probably. Stockings are for Santa; Santa is Christmas.
Snowmen are pretty generic. Bells are generic. Bows are generic.
Mittens for the name tags in various colors, polka dots, stripes, designs …avoid red and green.
I like pastels and neon to be far away from traditional colors of this season.
Snowflakes.
Winter themed… ice skates, mugs of hot beverages, stocking hats with poms on top
What has the office done about decorating in the past?
Snowflakes and bows are generic. Sprigs of evergreen or a wreath is colorful.
If all employees are Christian/celebrate Christmas in some way, that would be fine. If not, stick to “winter wonderland” theme: snowflakes, lights, wintergreens.
Since the OP is talking about the waiting room they should consider the patient population as well. I’m with those who say it’s best to stick to a festive winter theme and avoid anything expressly related to Christmas.
I like the mittens ideas.
Honestly, although i celebrate Christmas, I would just as soon not see the usual kind of seasonal decorations in a waiting room. I’d rather be in a waiting room that is generally comfy year round with a range of non-medically oriented magazines to flip through and decent upholstery that is not obviously worn or dirty. 
A Keurig would not go amiss, either.
Anything done for the Christmas holiday, whether or not secular instead of religious, points out (acknowledges) the holiday. But, here in the US, it is common for the seasonal decorations. Patients who dislike the holiday (wrong religion, at a place in their life they are bah humbug about it…) will not enjoy seeing decorations traditional for Christmas. Snowflakes and many other decorations are sadly only used around Christmas and therefore have the association. I find up north winter themes particularly incongruent in Florida. Christmas decorations center around north European customs and climate. Hindus, Muslims, Jews,atheists and others may be tolerant but slighted by any Christmas themes.
Spruce up the office for year round pleasantness. Greenery is nice to lessen an otherwise sterile environment- but safety and allergies need to be considered. Perhaps keep the decorating to the employees’ individual work areas (chosen and maintained by the individual- in other words do not prohibit) instead of subjecting all to a theme.
There will be people offended by secularization of their religious holiday as well. You can’t win. I suppose we all need to remember this is a celebration of the winter solstice holiday practiced by Europeans modified by Christianity.
For the name tags…
Pine cones with names on ribbon
Icicles-letters go down Icicle vertically
Birds
Coats…names on scarves
Celebrate winter… penguins, snowmen, mittens.
I like birds. Maybe cardinals. Also maybe New Year’s themed.
Sorry @beerme but your suggestions have me picturing an elementary school classroom. Would not be appealing to me at all.
Waiting areas often have children so the ideas were to appeal to all ages…not to offend you personally.
If you went New Years themed. Black, white and gold. Clocks. Clock arrangements (this appeals to my steam punk side). Top hats. Candles.
Agree on keeping it very minimal, even forgoing holiday decorations.
I’d be thrilled with:
Good, current! magazines. A bowl of clementines and apples. The ability to make a cup of tea, coffee, hot chocolate. And for festive decor - some amaryllis, paper whites, large orchid plants and not much else. A clean waiting room, pleasant, efficient, and courteous personnel, and a short waiting time would be the icing on the cake. 
I think this depends very much on the type of waiting room. An orthodontist practice where the the patients are teens and tweens can be more festive/party-like than say, a liver specialist where patients are referred for serious problems.
If there are very young patients (toddlers and preschoolers), avoid things that are maybe a little too exciting, like flashing lights.
I can recall a couple personal reactions to decorated waiting rooms. Seeing the Halloween decor in a general practice of middle-aged and senior adults seemed juvenile and border-line patronizing. I understand it was not meant that way - but I have some anxiety or illness or pain if I’m in the MDs office and this seemed like forced, false cheer.
Christmas/winter festive decor made visits to another office with a seriously ill older patient that much harder. I didn’t want to be reminded of the season and my less than celebratory mood. Not to be a kill-joy, but I’m with the group who prefers muted seasonal floral arrangements, Kuerigs and general comfort. No TVs, please.
OP what kind of practice is this?