Jobs he can just about manage.
Is the expression above a clause or a phrase?
I think it's a phrase.
Assuming it means "Jobs that he can just about manage", it's a noun phrase. It includes a (reduced) relative clause. There is another possible interpretation, as a reordering (for emphasis) of "He can just about manage jobs".
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Assuming it means "Jobs that he can just about manage", it's a noun phrase. It includes a (reduced) relative clause.
There is another possible interpretation, as a reordering (for emphasis) of "He can just about manage jobs". This seems somewhat unlikely without some qualification of "jobs" (e.g. "Simple jobs he can just about manage").