chance one’s arm—do smth. in the face of probable failure; take one’s chance of doing smth. successfully:
- He chanced his arm in pursuit of a world record and for a while looked like he might just pull it off.
one would give his right arm —(hyperbolic) one is ready to give up his most valuable possession (to achieve smth.):
- I’m sure Leon would give his right arm for a fraction of John’s success.