An interstock lies between the scion and the rootstock. This is called double working.
Double working may be done in certain fruit tree grafts where the scion and rootstock are incompatible, but the interstock is compatible with both the scion and rootstock.
An interstem is also the way rose standards are made.
Initially the interstem is budded onto the rootstock.
After a years growth the several scions are budded at the top of the interstem.