stay on sth meaning

• [American slang]
  1. to remain on something, such as a horse, road, stool, etc.
    The first time I rode, I could hardly stay on the horse.
    It was so slippery that I had trouble staying on the road.
  2. to continue to pursue something.
    I will stay on this problem until it is settled.
    She stayed on the matter for weeks until it had been dealt with.

• stay at sth:    [American slang]to ...
• stay for sth:    [American slang]to ...
• stay to sth:    [American slang]to ...