You have no savings, no safety net. You should save an emergency fund ASAP of at least two months salary in case you got sick or made redundant. You have no savings at the moment so this should be your first priority. This saving account should be off limits for everything, ideally having it in an instant access account, in case of........an emergency!
Once you have an emergency fund, you can start to save for a specific goal, in your case a deposit. I would open a regular saver account contributing the most you can afford per month (usually there is a 1K max limit). If you could contribute 1K per month for 5 years you would be up at 60K saved (excluding interest).
However, IMO you are highly unlikely to save 50K - 60K in five years if you are starting with nothing and earning 30K. A rough calculation indicates your monthly take home pay is around 2K, so if you saved 1K per month you would be left with 1K for all bills and expenses. Unless you have no rent to pay and spend almost nothing day to day, this is not enough to live on IMO.
I think you need to adjust your saving/investments goals to be a bit more relalistic