Quote From kikothedog:
If you are doing a funded phd in the uk the money is given in a lump sum to the university and is then allocated throughout the length of the project.
There might be less phd projects as a result of brexit but you wont have students start and then have funding pulled. Not in the sciences anyway, that's not how it works.
The students I know about have been in Biological Sciences and Engineering. In one of Biosciences ones, the student quit their job over the summer, started on the first day of their PhD and then the PI said, opps, no funding due to a mix up. The other Biosciences one was told there was PhD funding, and after the first year got told sorry, no more funding, so you have to leave with a MSc. I think in the Engineering one, an industrial sponsor pulled the project and the student was told in their 3rd year to start again with a different project, so they chose to quit instead.
If the uni gets the money from a funding body then you are unlikely to lose it, but if uni or industry funded, money can be pulled, like in the examples above.