Prom is in trouble with lockdown? (8)

I believe the answer is:

imprison

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'lockdown?' is the definition.
I can't tell whether this defines the answer.

'prom is in trouble' is the wordplay.
'trouble' indicates an anagram.
'prom'+'is'+'in'='promisin'
'promisin' anagrammed gives 'IMPRISON'.

'with' acts as a link.

Can you help me to learn more?

(Other definitions for imprison that I've seen before include "Detain" , "Purveyor of blooms" , "shut up" , "Confine" , "put in detention" .)

I've seen this clue in The Irish Times.

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