WordNet sense 1 (a woman's close-fitting foundation garment):

corset, stays

WordNet sense 2 (a band of material around the waist that strengthens a skirt or trousers):

cincture, sash, waistband, waistcloth

WordNet sense 3 (cut a girdle around so as to kill by interrupting the circulation of water and nutrients):

deaden

WordNet sense 4 (put a girdle on or around):

gird