I tackle Alp hill, strangely to relax? (4,1,5,4)

I believe the answer is:

take a chill pill

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'relax?' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'i tackle alp hill strangely' is the wordplay.
'strangely' indicates anagramming the letters.
'i'+'tackle'+'alp'+'hill'='itacklealphill'
'itacklealphill' with letters rearranged gives 'TAKE A CHILL PILL'.

'to' acts as a link.

Can you help me to learn more?

(Another definition for take a chill pill that I've seen is " Calm down".)

I've seen this clue in The Irish Times.

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