With "hand" as the first part:
* handbag: A bag carried by hand.
* handcart: A small cart pushed by hand.
* handclap: An act of clapping one's hands together.
* handcuffs: Metal rings connected by a chain, used to restrain a person's hands.
* handful: A quantity that can be held in one hand.
* handgun: A firearm that is small enough to be held and fired with one hand.
* handshake: A gesture of greeting in which two people grasp each other's hands.
* handstand: A physical position in which a person balances on their hands with their body upright.
* handwriting: The style of writing by hand.
* handwork: Work done by hand, often with skill and care.
* handrail: A rail to provide support for the hand.
With "hand" as the second part:
* bill of hand: A written order to pay a certain sum of money.
* bill of hand: A negotiable instrument resembling a promissory note.
* bridge hand: The cards held by a player in a game of bridge.
* cold hand: A hand that is cold to the touch.
* dead hand: A hand that is no longer in control.
* free hand: Freedom to act independently.
* helping hand: Assistance given to someone in need.
* left hand: The hand on the left side of the body.
* right hand: The hand on the right side of the body.
* second hand: A used item.
* upper hand: A position of dominance or advantage.
* upper hand: A position of dominance or advantage.
* working hand: A person who works with their hands, such as a craftsman.
* writing hand: The hand used for writing.
Other combinations:
* backhand: A stroke made with the back of the hand.
* forehand: A stroke made with the front of the hand.
* offhand: Without prior thought or preparation.
* on hand: Available or present.
* out of hand: Beyond control.
* second-hand: Receiving information indirectly, or used previously.
* single-handed: Done by one person without help.
These are just a few examples, and there are many other possible compound nouns with the word "hand."