It seems all has got better with Amadeus, with a posting on their blog released:
Amadeus can now confirm that all airline systems are restored. Some travel agency customers may continue to experience service disruption which we are investigating. We regret any inconvenience this may have caused.
A quick check of CheckmyTrip.com is running a bit slow, whilst the classic version is working at a reasonable speed. The Amadeus apps also appear to be functioning too.
I’d give it till tomorrow before using these tools in anger though…