Splinters found in small organs (7)

I believe the answer is:

slivers

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'splinters' is the definition.
(I know this)

'in small organs' is the wordplay.
'in small' becomes 's' (abbreviation - e.g. clothes size. I am not sure about the 'in' bit.).
'organs' becomes 'livers' (liver is a kind of organ).
's'+'livers'='SLIVERS'

'found' is the link.

Can you help me to learn more?

(Other definitions for slivers that I've seen before include "Bits" , "Thin strips of wood or glass" .)

I've seen this clue in The Telegraph.

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