The Collaborative International Dictionary of English v.0.48:
Trench \Trench\, v. i.
1. To encroach; to intrench.
[1913 Webster]
Does it not seem as if for a creature to challenge
to itself a boundless attribute, were to trench upon
the prerogative of the divine nature? --I. Taylor.
[1913 Webster]
2. To have direction; to aim or tend. [R.] --Bacon.
[1913 Webster]
To trench at, to make trenches against; to approach by
trenches, as a town in besieging it. [Obs.]
[1913 Webster]
Like powerful armies, trenching at a town
By slow and silent, but resistless, sap. --Young.
[1913 Webster]