Would that be 'University ' by any chance.
university
unison
unisexs
Universal.
universe
uni word means to sing together as one
uni
unicycle
The prefix "uni-" in the word unicellular means one or single. Therefore, unicellular refers to an organism or structure consisting of a single cell.
Uni or mono.
Unique.
clothes from an institution like polytechnic or uni
The affix in the word uniform(s) is uni- which is in Latin unus, una and unum. Unus, una and unum means one in Latin! Uni- means one/singular.