Wafer I was saving on a very measly salary in my first job out of Uni - I was earning under £9k annually, and was able to put £10/week into the credit union at work, by cycling rather than getting the bus (unless it was pouring!) to work. At the end of 8 months there, I had managed to gather just under £300, (as I had taken some out for necessary clothes) - but also paid rent, fed myself, shared petrol costs with then DP to get "down home" on regular weekends to our family, and joined a hockey club for fun and exercise. (Admittedly, DP tended to pay for cinema nights etc as he was earning a bit more at the time).
But we were not living together, and I had managed to carve out a decent life even on very low wages for myself, and put away a few pounds. But if I hadn't "paid myself first" (taken savings out of wages before they got to my bank account), it would have been VERY hard to do - I wouldn't have seen the point in trying to get to the post office for that little, and would have frittered it away on other things.
Over the years, as I moved job (and there was a work credit union here too), and got promotions, I continued with that effort. And I allow myself 1 or 2 paychecks of the new wages when I get an increase to treat myself, and then increase my credit union by at least some of the increase I have got - as I had been managing on the previous amount up to that point. There have been times, as prices have increased, that I had to cut back on savings again, but then I could increase them again when I next got a pay increase again.
Yes, DP became DH and we moved in together when we got married, but we each cover part of the household expenses (including DD), and each put money from our wages into savings. (We don't have joint accounts, but manage our own).
I have MORE because I have DH and he earns more than me, but I would still have savings even without him.