He has a favourite piece of verse (5)

I believe the answer is:

peter

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'he' is the definition.
(I've seen this before)

'a favourite piece of verse' is the wordplay.
'a favourite' becomes 'pet' ('pet' can be a synonym of 'favourite').
'piece of verse' becomes 'er' (I can't justify this - if you can you should give a lot more credence to this answer).
'pet'+'er'='PETER'

'has' acts as a link.

Can you help me to learn more?

(Other definitions for peter that I've seen before include "Dwindle away to nothing" , "Early Pope" , "Rock-like apostle" , "Boy's name (maybe blue)" , "emperor" .)

I've seen this clue in the Evening Standard.

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