A little way from Newhaven (3)

I believe the answer is:

ave

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

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

'from newhaven' is the wordplay.
'from' indicates the answer is hidden within the clue.
'AVE' is hidden within '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" .)

I've seen this clue in the Evening Standard.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.