Leeneia. The device you describe is a “vice” in British English.

Looking through the Chambers dictionary App on my phone, I find 2 entries for “vice” with different roots.

#1 (which has the Latin “vitis” – "vine" referenced) Has meanings including the tool.
#2 (“vitium” – "defect") has the immoral meanings.

You in the US appear to spell #1 as “vise”.