sucken

from The Century Dictionary.

• noun In Scots law, the district attached to a mill, or the whole lands astricted to a mill, the tenants of which are bound to bring their grain to the mill to be ground. See thirlage.

from the GNU version of the Collaborative International Dictionary of English.

• noun (Scots Law) The jurisdiction of a mill, or that extent of ground astricted to it, the tenants of which are bound to bring their grain thither to be ground.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun obsolete The duty of a tenant to bring corn etc to a particular mill to be ground; the land so astricted