Spider Jack is from the same publisher as the massively popular Cut the Rope game and the two have an awful lot in common. In fact they're so similar that Spider Jack is best seen as a slight re-imaging of Cut the Rope rather than a completely new game.
The aim of the game is simple. You need to deliver Jack, the spider, to his dinner. To do this your spider latches onto knobs on the screen via its web and then climbs up the web. It can also swing from these and at certain times you'll need to slice the web to make Jack fall towards his dinner. It starts off very easy, but the puzzles become much harder as you progress through the game.
If you were pandering for more Cut the Rope style gameplay, then you'll find plenty of it in Spider Jack.