Wiki says
"The Suicide Act 1961 (9 & 10 Eliz.2 c.60) is an Act of the Parliament of the United Kingdom. It decriminalised the act of suicide so that those who failed in the attempt would no longer be prosecuted."
They still are though. AFAIK 3 attempted suicides have been charged with public order offences in the past few months.
Doesn't matter if anyone has a right to suicide (ethically, I mean; legalities are either in line with an ethic you can logically argue for, or they're just the product of sociological norms and have no meaningful normative merit).
The only right anyone has to stop people from committing suicide is making their conditions better so that they don't feel that life isn't worth living anymore. Failing that, preventing the suicide is effectively proactively contributing to prolonging that person's suffering.
Only in the ideal world, sadly. The majority of people who take their own lives are either under extreme pressure from outside interference, i.e Divorce or personal tragedy and mental illness, which in turn is heavily discriminated against.
