I was watching a video the other day and saw that "thump" like effect that sorta looks like a quick zoom in and out, but I was wondering if that was all it is, or if there is something more going on. I'm not at my comp. so can't check it out, but i looked online a bit and couldn't find any info related to this specifically.
You could do that by attaching an oscillate + random behavior to the scale settings of the video. You can then easily tune to the level of speed you want. Beware on zooming too far in, as you'll be going past 100% of you source footage resolution and some degradation may show. Unless this is HD in an SD project in which case it's less of an issue. Oh and excuse me, there's a wind blowing and I was eating grapes...
Good lord, that hurt.
Couldn't tell if the bump was synced to a discernible audio hump. I'd use Magnify instead of Scale and maybe even a bit of Optic Compensation along with just enough motion blur or CC Force Motion Blur to be subtle yet visible.
Magnify will let you vary the center, similar to Scale and offsetting the anchor point.