Green’s Dictionary of Slang

clampers n.

also clamps

1. (US) the hands.

[US]J.C. Harris Uncle Remus 119: Brer Ba’r got his clampers on him good.

2. (US Und.) handcuffs.

[US]Monteleone Criminal Sl. (rev. edn) 51: clamps Handcuffs.

3. (UK Und.) wire connections used in telephone tapping.

[UK]B. Hill Boss of Britain’s Underworld 218: On went the clampers again, and more telephopnes than ever were tapped.

In phrases

put on the clampers (v.) (also put on the clamps)

to restrain, to hold back.

[US]J.W. Carr ‘Words from Northwest Arkansas’ in DN III:ii 131: clamp(er)s, n. In the expression, ‘put the clampers on,’ meaning to check or restrain.
[Aus](con. 1830s–60s) ‘Miles Franklin’ All That Swagger 8: As soon as ye’r back is turned, they’ll put on the clampers.
put the clamps on (v.)

1. (US ) to steal.

[US]A.H. Lewis Boss 375: He wanted things rigged so’s he could put the clamps on our party.
[US]Wentworth & Flexner DAS.

2. (US Und.) of the police, to clamp down on crime.

[US]S. Sterling ‘Ten Carats of Lead’ in Black Mask Stories (2010) 229/1: The mob that knocked her off has gone kill-crazy. If we don’t put the clamps on ’em--.
[US]Monteleone Criminal Sl. (rev. edn).

3. (US) to make somebody into one’s spouse.

[US]O. Johnson Varmint 391: Sis is going to put the clamps on that [W&F].