garycatt GivEnergy did say that they were going to be launching a used equipment scheme about 6 months ago, but not seen anything of it.
There are second hand batteries appear on eBay, at prices much reduced from new, but whether you could get any warranty from GivEnergy if anything went wrong ….
You will need a professional to install and commission it. Even though electrically its very simple to add a battery, it has to be commissioned in the GivEnergy portal and only a qualified installer can do that (although any electrician can do the training course).
The way it works though is that there is that your customer account is only ever associated with one installer account so the installer has to take over responsibility for your existing installation when they add the new battery. Whether they would see that as worthwhile?
Your best bet therefore would be to get your existing installer to add the new battery. I had something similar done on my install except it was a brand new battery I bought (long story, not relevant to this). My installer charged me £400+VAT to remove the old battery, install the new one, wire up the EPS connections on my inverter which I also wanted doing, and commission the system.
I think most installers would be wary of taking on responsibility for a second hand battery they know nothing about. If GivEnergy ever do get the used equipment scheme going then this might be different - could be worth enquiring what is happening about this.
Which brings you back to buying and having installed a new battery. The economics of it will be rubbish, probably 10-20 year payback of the difference of IOG overnight vs day rates x battery capacity - 20% conversion losses x half a year that you’ll need the battery for your heat pump.
Buy more solar panels is my advice and generate and export more in the summer to build up a credit to run the heating in the winter.