Don't think it's well known, but there's an inbuilt cheat in the Einstein version of Chuckie Egg.
Redefine default keys as follows:
Up - any key you like
Down - any key you like
Left - Z
Right - X
Jump - Space or Enter
Pressing all five keys together on any level in the game skips to the next level
Further details about Chuckie Egg and this cheat here:
http://www.bagshot-row.org/chuckie-egg/ ... stein.html
There are actually only 8 different screens, after which they recur again as you advance through the levels. The second set of 8 screens has no hens, but you're pursued by the duck that escapes from the cage and you'll not survive for long! The third pass has both hens and duck, the fourth has additional hens, and the fifth is faster. This takes you to level 41, after which the 8 screens continue cycling for higher levels.
If you need inspiration, check out the 'Chuckie Egg (Tatung Einstein)' gameplay on YouTube that gets to level 11!
Enjoy