A bit concerned? Singularly! (4)
I believe the answer is:
once
'singularly' is the definition.
(thesaurus)
'a bit concerned?' is the wordplay.
'a bit' says the answer is hidden in the clue (the answer is formed by a bit of the clue).
'ONCE' is hidden within 'concerned'.
(Other definitions for once that I've seen before include "At a previous time" , "... upon a time for the storyteller" , "Cone (anag.)" , "One-time - one time" , "In days gone by" .)