Drink too much to exercise (4)

I believe the answer is:

tope

'drink too much' is the definition.
(I've seen this in another clue)

'to exercise' is the wordplay.
'exercise' becomes 'pe' (Physical Education).
'to'+'pe'='TOPE'

(Other definitions for tope that I've seen before include "Drink too much like poet" , "Small grey requiem shark" , "Drink to excess" , "Drink a lot like poet" , "plantation?" .)

I've seen this clue in The Guardian.

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