[Gumby]

From the NHL rulebook:

10.3 Broken Stick – Player - A broken stick is one which, in the opinion of the Referee, is unfit for normal play.

A player without a stick may participate in the game. A player whose stick is broken may participate in the game provided he drops the broken stick. A minor penalty shall be imposed for an infraction of this rule.

A player who has lost or broken his stick may only receive a stick at his own players’ bench or be handed one from a teammate on the ice. A player will be penalized if he throws, tosses, slides or shoots a stick to teammate on the ice. A player may not participate in the play using a goalkeeper’s stick. A minor penalty shall be imposed for an infraction of this rule.

A player tendered a stick thrown on the ice from the players’ or penalty bench will not receive a penalty. However, the person responsible for throwing the stick will receive a bench minorpenalty.

As well as:

53.1 Throwing Equipment – A player shall not throw a stick or any other object in any zone. A player who has lost or broken his stick may only receive a stick at his own players’ bench or be handed one from a teammate on the ice (see 10.3).

53.2 Minor Penalty - A minor penalty shall be imposed on any player on the ice who throws his stick or any part thereof or any other object in the direction of the puck or an opponent in any zone, except when such act has been penalized by the assessment of a penalty shot or the awarding of a goal.

When a defending player shoots or throws a stick or any other object at the puck or the puck carrier in the defending zone but does not interfere in any manner with the puck or puck carrier, a minor penalty shall be assessed.

When the player discards the broken portion of a stick or some other object by tossing it or shooting it to the side of the ice (and not over the boards) in such a way as will not interfere with play or opposing player, no penalty will be imposed for so doing. When moving a stick that is not broken, no penalty shall be assessed as long as it does not interfere with the play and the player who lost said stick is not attempting to retrieve it, otherwise an interference penalty must be assessed.

A minor penalty for unsportsmanlike conduct plus a game misconduct penalty shall be imposed on a player who throws his stick or any part thereof or any other object or piece of equipment outside the playing area in protest of an official’s decision.

Can't find anything about taking/using an opponent's stick though...