You're able to save any of your searches from the results screen. These are then saved in the cloud (rather than locally on your PC) and can always be accessed from your account.
In the below example, we're saving a search identifying Food & Beverage companies in South East London.
You can then load any of your previously saved searches from the Search tab, as below.
If you forget to save a search, Fame automatically saves all recent searches which you can access from the same area, under 'Recent searches', as below: