bicyle chain

I have a Charge Mixer 8, it has an eccentric bottom bracket which is now at the extreme front of it's adjustment and the chain is limp. If I turn the eccentric all the way to the back and remove a link the chain is too short to be joined back together.
Am I just being tight and should just get a new chain or am I missing something about the available adjustment?
I have done about 3800 miles on this chain.

Any thoughts appreciated.

YBN’s imaginatively named Soulchain SL (Super Light) 10-1 Ti 10 speed chain will suit those with a lust for bling and for saving every last gram from their road/audax bike. If that’s the yardstick by which you judge components, it won’t disappoint but while very competent, £49.99 is a fair bit to shell out on a chain and such astonishing beauty quickly becomes irrelevant under winter slime and grime.