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 don't know anything about this answer so I cannot judge 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' suggests deleting specific letters.
'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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