You can wear the Uni skinsuit in everything, the only issue is whether your current club mind that much or not. We have ex Birmingham Uni riders racing for RST who missed the club kit order so are still in Uni skinsuits for the time being.
Incidentally for BUCS you don't technically need to have a cycling club at the Uni to represent them - when I was doing an MSc at Portsmouth they didn't have a cycling club but for the day of each BUCS event there's a stipulation somewhere from the CTT that says you can race under the name of your Uni rather than your regular racing club.
You can wear the Uni skinsuit in everything, the only issue is whether your current club mind that much or not. We have ex Birmingham Uni riders racing for RST who missed the club kit order so are still in Uni skinsuits for the time being.
Incidentally for BUCS you don't technically need to have a cycling club at the Uni to represent them - when I was doing an MSc at Portsmouth they didn't have a cycling club but for the day of each BUCS event there's a stipulation somewhere from the CTT that says you can race under the name of your Uni rather than your regular racing club.
Xav