1.
If you ~ an idea, you consider it casually without making any decisions about it.
He toyed with the idea of going to China...
PHRASAL VERB: V P n
2.
If you ~ food or drink, you do not eat or drink it with any enthusiasm, but only take a bite or a little drink from time to time.
She had no appetite, and merely toyed with the bread and cheese.
PHRASAL VERB: V P n