Sharpen garden tool around November (4)
I believe the answer is:
hone
'sharpen' is the definition.
(honing is a kind of sharpening)
'garden tool around november' is the wordplay.
'garden tool' becomes 'hoe' (I've seen this before).
'around' is an insertion indicator.
'november' becomes 'n' (phonetic alphabet: alpha, bravo, charlie etc.).
'hoe' enclosing 'n' is 'HONE'.
(Other definitions for hone that I've seen before include "Sharpen tool on stone" , "Strop" , "Polish" , "Smooth stone" , "Sharpen (a blade)" .)