to shrink on

Webster's Dictionary (GCIDE)

1.To cause to contract or shrink; as, to shrink finnel by imersing it in boiling water. [1913 Webster]

2.To draw back; to withdraw. [Obs.] [1913 Webster]

The Libyc Hammon shrinks his horn.— Milton.[1913 Webster]

To shrink on (Mach.), to fix (one piece or part) firmly around (another) by natural contraction in cooling, as a tire on a wheel, or a hoop upon a cannon, which is made slightly smaller than the part it is to fit, and expanded by heat till it can be slipped into place. [1913 Webster]