I've never heard it called linderman chain, but I assume you've got regular steel link spud chain? If so, there should be a "cut link" somewhere- you've got to look at both ends of every link till you find it. the very end of the rod will have a bevel cut on the inside of the loop. usually only one end of that link. that gets unhooked first, then you have to shift the opposite hook along the rod it attaches to, then work it loose. assembly is reverse order. once you get the chain apart, you'll find you can only remove a link from the one end-- at the other, the first link is trapped in place by the second.
i know that's a lot of words, but once you've done it, it's pretty straitforward.
btw when the chain gets worn, you can separate it anywhere.
you don't have to cut anything, and other than maybe a hammer to jar the thing back together (especially if the chain is in good shape, not worn) you shouldn't need any tools.