Mythical trophy I had (5)

I believe the answer is:

cupid

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'mythical trophy i had' is the definition.
I can't tell whether this defines the answer.

'trophy i had' is the wordplay.
'trophy' becomes 'cup' (cup is a kind of trophy).
'i had' becomes 'id' (I'd).
'cup'+'id'='CUPID'

Can you help me to learn more?

(Other definitions for cupid that I've seen before include "naked boy" , "godlike figure" , "heathen god" , "boy carrying offensive weapon" , "Armed boy" .)

I've seen this clue in the Evening Standard.

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