According to a BBC News story by Justin Parkinson, “Zainab Thorp, a special needs co-ordinator at Turves Green Boys’ Technology College in Birmingham, is offering after-hours classes” in Sindarin. If you can’t make it to Turves Green, there are courses online (here and here, for example), but there doesn’t seem to be anything as thorough as this Quenya course:
This is a non-commercial project, so I can very well afford to be honest: This course is for the serious student who really wants to study one of the most highly developed languages Tolkien ever made, scrutinizing it in all its rich and intricate detail – a study undertaken largely (or entirely) for its own sake. Knowing Quenya will hardly be of much help in finding a job. This course is not for the faint-hearted who are unable to truly appreciate a lengthy discussion of (say) whether ny is to be considered a consonant cluster n + y or a single consonant like Spanish ñ. I do try to present the structure and grammar of Quenya in an attractive fashion, but the student must have no fear of “technicalities”; this course is all about technicalities.
Now, that’s my kind of language course. But if you really want to know about Elvish languages, you need to sit at the feet of David Salo. (News story courtesy of Simon Ager, proprietor of Omniglot: a guide to writing systems, who of course has a page on the Tengwar alphabet.)