Oxidized wine/ cider has a tired, flat, unappealing flavor (in general). It's hard to describe, but easy to taste. You can pour yourself a glass of cider or white wine and leave it out for a day or two (this would give you a good visual) and you'll get an idea for the flavor, or shake the bejesus out of one for a few minutes let it rest for a few then compare it to an unshaken glass. You would likely see a color change into a brownish hue and note the flavor change (for fun have someone else set up a comparison for you and taste them "blind").
Some wines are purposely oxidized (Sherry) or "reductive" (some Chardonnay's) when carefully controlled/ monitored this can yield a nutty flavor. If you've never had Sherry I'd recommend "Lustau" $14-25, they have several different offerings (don't bother with the cheap stuff, it's crap, and it's what's given Sherry a bad rep in the US). I prefer dry to medium dry sweetness. The finish with this brand is consistently like peanuts/ cashews (if that's appealing to you). This would give you a pretty good idea of what oxidized "can" be, but it's almost universally considered a flaw in cider (my 2 cents).
Anyway I've digressed, sorry about the tangent...