Lesser celeb’s monastic life devoid of love (1-6)

I believe the answer is:

c-lister

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'lesser celeb's' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'monastic life devoid of love' is the wordplay.
'monastic life' becomes 'cloister' (I've seen this before).
'devoid of' is a deletion indicator.
'love' becomes 'o' (love means zero in tennis).
'cloister' with 'o' removed is 'C-LISTER'.

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I've seen this clue in The Times.

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