A little way from Newhaven (3)

I believe the answer is:

ave

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'a little way' is the definition.
'ave' can be an answer for 'way' (abbreviation for avenue, a type of 'way'). I am not sure about the 'a little' bit.

'from newhaven' is the wordplay.
'from' indicates a hidden word.
'AVE' is hidden in the letters of 'newhaven'.

Can you help me to learn more?

(Other definitions for ave that I've seen before include "Latin greeting" , "Welcome" , "Hail to the old Romans" , "Hail as to Maria" , "Hail in old Rome" .)

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