If you do want to use a saved uniform - and need to work around this problem - the easiest way is create your character with all the defaults. Once you are out of character customisation and on the starbase, head to the tailor and apply the saved uniform. Remember, a saved uniform also includes information about the face, body and stance ... as well as the clothes and colours.
This problem is easy to explain. While saving it it possible, that the editor does not save the data right, so it can't actualy load the set up for the game. This does however not have to be in the costume and body selection, but in race and traits section. This is why you can later on load this costume a the tailor.
If your having issues try not changing any costume or uniform options until AFTER you get past (or skip the tutorial) and get on ESD. There's been a bug where - if you use C-Store costumes pieces on a new character that isn't on ESD yet, the character creator fails.