In the dictionary
snap: 2 MOVE INTO POSITION [intransitive, transitive always + adverb/preposition] to move into a particular position suddenly, making a short sharp noise, or to make something move like this
snap together/back etc
The pieces just snap together like this.
The policeman snapped the handcuffs around her wrist.
snap (something) open/shut
She snapped her briefcase shut.
click [intransitive, transitive] to make or cause something to make a short sharp sound
(+ adv./prep.) The cameras clicked away.
The bolt clicked into place.
- adj. The door clicked shut.
click something He clicked his fingers at the waiter.
Polly clicked her tongue in annoyance.
The corporal clicked his heels.
The police officer clicked a pair of handcuffs around his wrists.
So, these are from dictionaries, "the policeman snapped the handcuffs around her wrist" and "the police officer clicked a pair of handcuffs around his wrists".
Can "snap" and "click" be used interchangeably or what are the differences?