Crossword Genius

Slight advantages on a hill, in battle (4)

Ross

I believe the answer is:

edge

I'm a little stuck... Click here to teach me more about this clue!

This might be a double definition.

'slight advantages' is the first definition.
Both the definition and answer are adjectives. Perhaps you can see a link between them that I can't see?

'hill in battle' is the second definition.
The definition and answer can be both man-made objects as well as being singular nouns.
Perhaps you can see an association between them that I can't see?

'on a' is the link.

Can you help me to learn more?

(Other definitions for edge that I've seen before include "Upper hand" , "Border, fringe" , "Move furtively; intense quality" , "Advantage (informal)" , "Hem" .)

I've seen this clue in the Evening Standard.
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