Crossword Genius

Praise that comes down from on high (4)

Ross

I believe the answer is:

hail

I'm a little stuck... Click here to teach me more about this clue!

'praise' is the definition.
(I know that hail is a more specific form of applaud)

'comes down from on high' is the wordplay.
I cannot really understand how this works, but
'high' could be 'h' (abbreviation) and 'h' is present in the answer.
The remaining letters 'ail' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

'that' acts as a link.

Can you help me to learn more?

(Other definitions for hail that I've seen before include "volley" , "Icy precipitation" , "Stones from the sky" , "Signal to and summon, say a taxi" , "Welcome (icily?)" .)

I've seen this clue in The Guardian.
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