Our little boy's almost four months old and over the last 3 weeks has started waking regular as clockwork at 2.30am and 5.00am (literally within 5 minutes either way!).
He's not really hungry (he goes to bed at 8 and has a dream feed at 11) and if you offer him the bottle he has a nibble and faff and eventually has a couple of ounces (at most) before falling asleep... but wakes up as soon as we put him back in his basket. We never rush into him at either time - we let him try and self soothe... if/ when that doesn't work, we shush-pat (which very occasionally works) until the crying builds... then we feed him.
When we put him back down, we gently shush-pat him to sleep which sometimes work, but generally he gets more and more restless and wakeful. Cue PU/PD which frankly, just doesn't work for us, even for an hour - he just gets more and more frantic until he's unconsolable and we end using the old tried and trusted "pacing the floor jiggling him to sleep routine". (By now about an hour and a half had gone by). Repeat as necessary at 5.00am (minus the food which he really couldn't care less about at that time).
Tried waking him at 2.00ish to pre-empt the waking but either he still wakes at 2.30 regardless or wakes up completely and has a massive hissy fit about being woken! (Oh the irony!) He has a tummy bug about 3 weeks ago which screwed up his old sleeping pattern (11-4 then 4-7) so I guess that's what made everything go off course. I sooooo know he's got into a bad habit but just don't know how to help him!
Sorry for the long post but any thoughts for the little one are much appreciated!
PS. He's not a particularly great sleeper in the day - has about 4 x 40min naps.