Remain with no time to speak (3)
I believe the answer is:
say
'speak' is the definition.
(I've seen this before)
'remain with no time' is the wordplay.
'remain' becomes 'stay' (staying is a kind of remaining).
'with no' is a deletion indicator.
'time' becomes 't' (abbreviation).
'stay' with 't' taken away is 'SAY'.
'to' is the link.
(Other definitions for say that I've seen before include "Judge" , "Authority to influence decision" , "Let us suppose" , "Opportunity to influence < > state" , "Utter, recite" .)