When does he go for his test? I have had him for forever and a day. Also when does jaheria get approchaded by the harpers?

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Anomen's test is random time trigger, but it usually happen around 2 weeks after he joined my party in game time through out my games.
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Jaheria's Harper quest usually occur after the following events:
1) Deliver a wounded man back to the Harper Hold
2) Do the Harper Bird quest
3) Protect Jaheria from group of bandits when you wake up after sleeping in the wilderness
After these events she will usually get her 1st summon by the Harpers.

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Long live H22A1!!!!!

I haven't done the Anomen knighthood test yet (it'll be a part of the game I'm currently playing), but I've read that it happens in Athkatla about a week after the conclusion of his last mini-adventure.

I assume you're asking about the first time Jaheira gets called away by the harpers? If you're in a romance with her it occurs after the bandit attack where she is "held hostage", which only happens after certain conversations occur. If you don't have anything going with her then I think it's shortly after the Xzar/Montaron affair.

SPOILER
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If you don't fancy Anomen being LAWFUL GD afterwards (if he graduates and succeeds - then don't pass his knight test!!

He will go from LAWFUL NEUTRAL = LAWFUL GD. And he won't be able to learn Unholy Word (7th Level)

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