In May I signed up for "Get an additional 1 point for every 1 dollar spent, up to $5000. Use up to 3 times." I spent $15k on the card during the promotion period, and was going to finally call Amex in the new year as the points never posted. I hadn't called or emailed them yet, but on Jan 5 I randomly got an email saying I had some missing points and they were being deposited. The next day I had 3x 5k points post to my account. Talk about a delay.
I also gave out 2 30k referrals for Gold in August. The first referral bonus posted the same day the person was approved for the card. The second bonus, which another person was approved for a week later, took 4 months to post.