A tiny bit secure in Kent town (10)
I believe the answer is:
whitstable
'kent town' is the definition.
(Whitsable is a town in Kent)
'a tiny bit secure' is the wordplay.
'a tiny bit' becomes 'whit' (as in 'not a whit').
'secure' becomes 'stable' (I've seen this before).
'whit'+'stable'='WHITSTABLE'
'in' acts as a link.
(Other definitions for whitstable that I've seen before include "Somewhere in Kent" , "Kent seaside town" .)