Just a tiny part of one's dismal life (5)

I believe the answer is:

small

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'just a tiny part' is the definition.
I can't judge whether this definition defines the answer.

'of one's dismal life' is the wordplay.
'of' indicates a hidden word.
'SMALL' can be found hidden inside 'ones dismal life'.

Can you help me to learn more?

(Other definitions for small that I've seen before include "Unimportant; little" , "Tiny" , "Not fully grown" , "Unimportant; young" , "Young; modest" .)

I've seen this clue in the Evening Standard.

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