Here's the DLR service map that appears above the doors on every train, and unlike the tube map, shows the individual services they run:

Or at least, are meant to run, because it's not really accurate anymore. Let's start with the obvious, Tower Gateway is closed:

For reasons unknown, possibly related to building the junction for the Stratford International extension (although I can't fathom what), the Beckton-Tower Gateway service is actually curtailed all the way back to Canning Town:

Moving on, they've turned the northbound track through Mudchute into a building site while they turn the siding into a third platform:


With only a single track available, the Stratford-Lewisham service has been curtailed at Crossharbour:

The line goes immediately into twin tunnels south of Mudchute, which would force trains to share a single track all the way to Greenwich, which would seriously limit frequency. So they've come up with a clever wheeze whereby trains from Mudchute reverse at Island Gardens. Meanwhile, trains from Lewisham reverse in the other platform there, using the normally-northbound tunnel under the Thames in both directions.
This has the happy side effect of leaving the southbound platform at Greenwich free to be extended for three cars, but the downside is there no trains run through Island Gardens:

Oh, and someone has demolished one of the viaducts into West India Quay, in preparation for the Delta Junction upgrade:

Which means with only one southbound track through the station, during peak hours when an additional Bank-Crossharbour service runs, half the trains from Stratford have to terminate at Poplar, and the rest terminate at Canary Wharf:

And let's not forget, as the network-wide tannoy announcements endlessly tell us, there is no interchange at Bank and Monument stations, except between the DLR and Northern Lines (not really true and probably never will be):

The service is so fucked they're running rail replacement buses while it's open, and the leaflet accompanying the disruption also suggests using the Greenwich foot tunnel, a Thames Clipper, even an East London Line replacement bus - anything but the DLR. TfL have gone so far as to invent a whole new bus route so you can avoid the DLR completely.
This phase of disruption lasts until August 25, and disruption in general lasts until ca. 2010 when all the various projects should be finished. With nothing but the probably-undisruptive Dagenham Dock extension on the horizon, you may even get some time to enjoy the upgrades.
[Thanks to an anonymous reader for the Delta Junction photo, and martin_petrov for suggesting I write about this]