Public Health Scotland: No cervical cancer cases have been detected in women who have been fully vaccinated against HPV. The HPV jag was rolled out to girls aged 12-13 in Scotland in 2008.
I just went and got my vaccine at the age of 25 last year and it was a fairly easy process + was fully covered by my insurance. It does take around ~8 months to become fully vaccinated though (3 shots for adults spread a few months apart), so if you’re currently sexually active or will be in the future, it’s better to start the process sooner rather than later