A little boost for Philip, we hear (6)

I believe the answer is:

fillip

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'a little boost' is the definition.
'fillip' can be an answer for 'boost' (I've seen this before). I am unsure of the 'a little' bit.

'philip we hear' is the wordplay.
'we hear' shows a homophone (sound like).
'philip' is a homophone of 'FILLIP'.

'for' is the link.

Can you help me to learn more?

(Other definitions for fillip that I've seen before include "Encouraging boost" , "Get a boost" , "Stimulus, quick boost" , "Spur - incentive" , "Sharp stimulus or flick of a finger" .)

I've seen this clue in the Evening Standard.

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