Carriage to the entrance, say (4)
I believe the answer is:
gait
'carriage' is the definition.
(I've seen this in another clue)
'the entrance say' is the wordplay.
'the entrance' becomes 'gate' (type of entrance).
'say' indicates a 'sounds like' (homophone) clue.
'gate' is a homophone of 'GAIT'.
'to' acts as a link.
(Other definitions for gait that I've seen before include "Manner of walking or running" , "walkway?" , "Walk" , "Way of walking sounds like way of entry" , "Way of walking (4)" .)