Ever go over to cuddle dog? Have to bend back! (7)

'to bend back' is the definition.
(I've seen this before)

'ever go over to cuddle dog?' is the wordplay.
'go over' says the letters should be written in reverse.
'to cuddle' is an insertion indicator.
'dog?' becomes 'cur' (both can mean a despicable person).
'ever' reversed gives 'reve'.
'reve' enclosing 'cur' is 'RECURVE'.

'have' is the link.