Make a drama of love poetry without cheap stuff (9)

I believe the answer is:

overstate

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'make a drama' is the definition.
'overstate' can be an answer for 'make' (thesaurus). I'm not sure about the 'a drama' bit.

'love poetry without cheap stuff' is the wordplay.
'love' becomes 'o' (love means zero in tennis).
'poetry' becomes 'verse' (synonyms).
'without' indicates putting letters inside ('without' can be similar in meaning to 'outside').
'cheap stuff' becomes 'tat' (I have seen 'Shoddy stuff' mean 'tat' so perhaps 'stuff' could also mean 'tat'. I am not sure about the 'cheap' bit.).
'verse' placed around 'tat' is 'verstate'.
'o'+'verstate'='OVERSTATE'

'of' acts as a link.

Can you help me to learn more?

(Other definitions for overstate that I've seen before include "Exaggerate, make too much of" , "lay it on thick" , "Exaggerate, go beyond bounds of truth" .)

I've seen this clue in The Times and The Sunday Times.

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