There are SO many things that they *could* have done for the Starfleet uniform costumes in DSC. I can think of SO many details, large and small, that I would have done differently but I guess all are now irrelevant conjecture given that we have what we have.
The one little thing that bugs me, however, is Pike's gold cuff rings: as a long-shot, they should have had Pike with two and everyone else with one (following the intermediate scheme from WNMHGB) or, more sensibly, they should have just followed the TOS-pattern and used a broken line of parallelogram lozenges for the middle stripe of the Captain rank instead of the thin middle line from the JJ-verse. (Obviously, the same would also apply to LTCDR and LTJG). The pattern of gold cuff-stripes in thick-thin-thick just looks TOO much like contemporary USN LTCDR and the whole point of the TOS cuff-rank design was that it was *meant* to be different from any contemporary naval rank stripes.
I know it's a piddly little detail but it really would have helped to differentiate the DSC "Constitution" uniforms from the JJ-verse uniforms and would have tied them back into TOS.
As a side note, while it's not what I would have chosen to do, I did notice the subtle additional detail of the gold piping along the zipper-line of Mount's uniform, which is obviously absent from the uniforms of the two lieutenants in red and blue -- this is, I guess, somewhat akin to the gold detailing on the shoulders of the various Captains' uniforms in the standard DSC blue pattern.