Edge around cat to get seat at the rear (7)
I believe the answer is:
pillion
'seat at the rear' is the definition.
'pillion' can be an answer for 'seat' (I have seen 'Back seat ' mean 'pillion' so perhaps 'seat' could also mean 'pillion'). I am not sure about the 'at the rear' bit.
'edge around cat' is the wordplay.
'edge' becomes 'lip' (lip is a kind of edge).
'around' says the letters should be written backwards.
'cat' becomes 'lion' (lion is a kind of cat).
'lip' backwards is 'pil'.
'pil'+'lion'='PILLION'
'to get' acts as a link.
Can you help me to learn more?
(Other definitions for pillion that I've seen before include "Passenger seat at rear of motorbike" , "Passenger seat at rear of motor-cycle" , "Back seat" , "Seat behind a motorbike rider" .)