Be under the impression that you'll give it your consideration (5)

I believe the answer is:

think

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'consideration' is the definition.
(I know that think is a type of advisement)

I can't explain the remainder of the clue.

(Other definitions for think that I've seen before include "Use one's mind" , "Cogitate; deem" , "Ponder" , "figure" , "Imagine" .)

I've seen this clue in the Evening Standard.

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