Praise not so high? (7)

I believe the answer is:

flatter

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'praise' is the definition.
(I know that flatter is a type of praise)

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for flatter that I've seen before include "Compliment dishonestly" , "Less hilly; show to advantage" , "resort to cajolery" , "Become" , "Over-praise" .)

I've seen this clue in The Sun.

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