Be heedful in the race, Kate, when climbing (4,4)

I believe the answer is:

take care

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But I can't explain it at all! Could you help me understand?

(Other definitions for take care that I've seen before include "Be watchful" , "Be cautious, mind yourself" , "Parting remark" , "Mind how you go" , "Look after yourself" .)

I've seen this clue in The Times.

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