The 'Coin' battery has a nominal life of 10 years but I've known some to last well beyond that.
There is no specific issue with simply unclipping the old one and inserting a new one - though do make sure that the replacement is CR2032 rather than CR 2016 or CR 2020 - and of course don't even contemplate replacement with the PC power still applied !!
The sign that the battery power is depleated is that the date/time functions are erratic but even that isn't entirely definitive.