It's sharp and injured the girl (7)

I believe the answer is:

cutlass

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'it's sharp' is the definition.
I can't judge whether this defines the answer.

'injured the girl' is the wordplay.
'injured' becomes 'cut' (similar in meaning).
'the girl' becomes 'lass' (lass can informally mean a girl).
'cut'+'lass'='CUTLASS'

'and' is the link.

Can you help me to learn more?

(Other definitions for cutlass that I've seen before include "Short curved naval sword" , "Short, broad-bladed sword" , "Sword formerly used by sailors" , "Curved sailors' sword" , "Sailor's blade" .)

I've seen this clue in the Evening Standard.

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