From The Oxford English Dictionary:
scrimption, n.
. . . .
A very small amount or degree, a bit. Cf. smidgen n.
. . . .
1867 P. Kennedy Banks of Boro xxvi. 208 You won’t get the least scrimshin of the nice hot cake.
1885 Arthur’s Home Mag. Dec. 759/2 He’s a scrimption better to-day.
Link to the rest at The Oxford English Dictionary
Larger than a titch bit but less than a wee fuzz?