Give drugs to banish cold and help settle (7)

I believe the answer is:

mediate

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

'help settle' is the definition.
(I've seen this in another clue)

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

(Other definitions for mediate that I've seen before include "try to resolve dispute" , "To referee" , "Act as middle man" , "Help settle a dispute" , "Intervene, act as go-between" .)

I've seen this clue in The Telegraph and The Sun.

Want a hint initially instead of a full solution? Install my app