What you're asking for in the comments, on ancient predictions, that's a tricky subject. You're basically talking about proper motion and Edmund Halley was the first person to observe it. He recognized that 3 stars were about 1/2 a degree from where they were observed 1,850 years earlier.
Source.
1/2 of 1 degree in the night sky is larger than you might think. It's about the diameter of the full moon, but 1,850 years is a long time. That's why it went unnoticed until Halley took a closer look at the ancient star charts.
It's noted in the Wikipedia article that the ancient Greeks suspected proper motion happened but they were unable to observe it and nobody can make a decent prediction based on something that changes so slowly they are unable to observe it.
With today's observation methods, it's just a matter of running a computer simulation to see what the constellations will look like 100 years from now (virtually unchanged) or 10,000 years from now (some of them would begin to be visibly skewed but likely still recognizable).
Every star has it's own proper motion, so each constellation would undergo it's own rate of change.