We have already looked at about 7 or 8 houses. The first 3 were rubbish, but they were also around 200,000. After that, we realized that we need to invest around 300,000. With patience, there might be something to find, but then also a bit outside or with investments needed in the coming years. We will probably take a look now. Of course, it might not fit anyway, but from investments I know that you look at what fits in the budget. I wouldn't test drive an S-Class if I only have money for a Golf. Even if the Golf is great, you will always measure it against the S-Class later.
Regarding saving: yes, despite a lower salary in the past, we have lived well (vacations, home cinema for 10,000€). However, we want to and can significantly cut back on that.
Waiting is certainly also an option, but the housing market here is quite tight, so prices are currently rising about 5% per year. Since we also pay a decent rent, the question is whether it will pay off in the end. I would like to be done with the repayment by around my early 60s. We will probably start financing then.