"throwing a fit" is an expression that means to have a temper tantrum or emotional outburst.
She threw a fit over the cost of the meal.
Someone can also "throw a smile" and throw a glance." These are all idoms you will hear and see quite often in informal speech.
She threw a smile my way and I knew she wanted to meet me.
I will just throw a glance into that room to see if he is there.
A glove "fits" a hand. That means it covers the hand exactly and is the correct size.