Drove mad? Love, you exaggerate! (6)

I believe the answer is:

overdo

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'exaggerate' is the definition.
('overdo' can be a synonym of 'exaggerate')

'drove mad? love' is the wordplay.
'mad?' indicates anagramming the letters (I've seen 'mad' mean this).
'love' becomes 'o' (In tennis, 'love' means 'zero').
'drove' is an anagram of 'overd'.
'overd'+'o'='OVERDO'

'you' acts as a link.
I am not very happy about this link. It may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for overdo that I've seen before include "Put too much effort into" , "Use to excess" , "Be excessive, perhaps cook too much" , "Carry too far" , "Be excessive, say cook too long" .)

I've seen this clue in the Evening Standard.

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