strop 
(strŏp)
(strŏp)n.
1. A strap, especially a short rope whose ends are spliced together to make a ring.
2. A flexible strip of leather or canvas used for sharpening a razor.
tr.v. stropped, strop·ping, strops
To sharpen (a razor) on a strop.
[Middle English strope, band of leather, probably from Old English, thong for an oar, from Latin stroppus, twisted cord, from Greek strophos, from strephein, to turn; see streb(h)- in the Appendix of Indo-European roots.]