Snake and ladder? Not quite! (5)
I believe the answer is:
adder
'snake' is the definition.
(type of snake)
'ladder? not quite' is the wordplay.
'not quite' means to remove the first letter.
'ladder' with its initial letter taken off is 'ADDER'.
'and' is the link.
(Other definitions for adder that I've seen before include "on country walks?" , "calculator?" , "Mathematical reptile" , "Sliding" , "Type of snake" .)