On a bike, one's headed North, East or West? (6)

I believe the answer is:

riding

I believe this clue is a double definition.

'on a bike' is the first definition.
(riding on a bike)

'one's headed north east or west?' is the second definition.
(as in North, East and West Ridings in Yorkshire)

(Other definitions for riding that I've seen before include "On a bay, perhaps" , "Going cycling, perhaps" , "Travelling on horseback" , "Sitting on and controlling the movements of a horse" , "Division of Yorkshire" .)

I've seen this clue in The Guardian.

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