You may park for up to four hours on Roundhay Road in the car park on the right hand side of the road, going out of Leeds (northbound).  It’s almost opposite the Co-Operative.

You may park behind The Co-Operative in the supermarket car park.  This is apparently unrestricted.

There is also a small car park by Oakwood clock itself.

There is a small amount of unrestricted street parking nearby.

Homebase’s free car park is 300m down the road, towards the city centre (no restrictions).