Blue? No time to talk (5)
I believe the answer is:
rabbi
'blue?' is the definition.
(I've seen this before)
'no time to talk' is the wordplay.
'no' indicates named letters should be taken away.
'time' becomes 't' (abbreviation).
'to talk' becomes 'rabbit' (rabbit can informally mean to talk).
'rabbit' with 't' taken out is 'RABBI'.
(Other definitions for rabbi that I've seen before include "Jewish minister" , "Spiritual leader of a Jewish congregation" , "legal scholar" , "Teacher of Jewish law" , "Legal expert" .)