Being keen, a branch of medicine gets nothing out of accommodation (9)

I believe the answer is:

enthusing

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'being' is the definition.
Although both the answer and definition are present participle verbs, I cannot see how they can define each other.

I don't understand how the rest of the clue works.

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(Another definition for enthusing that I've seen is " Being full of praise for hugest inn".)

I've seen this clue in the Sydney Morning Herald.

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