The only time you shouldnt save, or invest is if there are more important things you need to do with your money.
Now that youve got an emergency fund, its a good idea to save up at least 10% of your earnings each month (or as much as you can afford).
Set yourself savings goals and put away enough to buy what you want. This could be a house deposit, a wedding, or a trip.
You could also start to think about investing your money