Cat gets over drugged state (4)

I believe the answer is:

puma

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'cat' is the definition.
(I know that puma is a type of wildcat)

'over drugged state' is the wordplay.
'over drugged' becomes 'pu' (I can't explain this - if you can you should give a lot more credence to this answer).
'state' becomes 'ma' (abbreviation for Massachusetts).
'pu'+'ma'='PUMA'

'gets' is the link.

Can you help me to learn more?

(Other definitions for puma that I've seen before include "back from Argentina" , "International rugby player" , "Mountain lion" , "Large American cat" , "Large Am. wild cat" .)

I've seen this clue in The Guardian.

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