There used to be a "bank" where you could put your silver in. It would grow there with 2% per day, and then at the end of strat there would have been something like a loomlottery where 1 silver meant 1 ticket or something. But that got removed a LONG time ago, so now the bank thingy does nothing.
And yeah, you should save up your silver because the amounts of silver you can get alone, just by grinding it from strat ticks is pretty much insignificant. Most of the strat silver is earned by trading goods around the strat map. So if you want to get something sold I suggest you grind up some troops and sell them. Troops however will need silver for the upkeep
The way you are getting silver atm is by spending strat ticks. 1 tick is consumed every hour to either produce you some silver or 1 troop. If your army size is below your max troop limit you'll produce troops, if you've reached your limit you'll produce silver. You are earning these ticks by playing cRPG. You'll get strat ticks when your multiplier is high enough, can't remember how that thing worked. But a few hours of crpg per week should keep you supplied with strat ticks.
Why you should try to sell troops instead of silver? As I mentioned earlier, you can earn silver by trading strat goods. And a single trader can earn millions per one trade run, so you have no chance to compete with that. Troops however can only be gained by players slowly using their strat ticks, so even the best trader will always have shortage of troops. This is why in current strat all armies now march in fully loomed plate armors. It's easy to get silver, but hard to get troops.