Maimonides for one having no time to talk (5)
I believe the answer is:
rabbi
'maimonides' is the definition.
(12th-century rabbi Maimonides)
'one having no time to talk' is the wordplay.
'one having no' suggests deleting specific letters.
'time' becomes 't' (abbreviation).
'to talk' becomes 'rabbit' (rabbit can informally mean to talk).
'rabbit' with 't' removed is 'RABBI'.
'for' is the link.
(Other definitions for rabbi that I've seen before include "Religious leader in a Jewish community" , "Spiritual leader of a Jewish congregation" , "Religious scholar" , "Religious person" , "Blue" .)