generosity; tolerance; leniency
Almost always used in the set phrase 大目に見る (to overlook, to be lenient about). The noun/adjectival noun use outside this phrase is rare.
See also: 大目に見る (おおめにみる)
large eyes
Rare literal meaning; not used in modern everyday Japanese. The common word for 'large eyes' is 大きな目.
古い文献では「大目」が文字通り大きな目を指す例がある。
In old texts, there are examples where 大目 literally means large eyes.
I'll overlook his mistake this time.
親は子供の小さな嘘を大目に見ることがある。
Parents sometimes turn a blind eye to their children's small lies.
Compound of 大 (big, great) and 目 (eye). The 'tolerance' sense likely developed from the idea of 'looking at something with big (generous) eyes', i.e., overlooking faults.