I searched the UK Border Agency page UK Border Agency page and couldn't find an answer to your question. I would try contacting them directly, and researching your options.

Are you working? How long have you been in the UK? Start with the UK Guide and visa info. There is also an article that may be of use to you: Obtaining a Visa to Live, Study and Work: the United Kingdom

Does anyone else have tips or advice?

 

Looking at the visa page within the London Guide, it appears it would be impossible to secure a visa with your current work. Is it possible to go back to school or try for another work visa? Of course, that is difficult to secure as well: http://www.ukba.homeoffice.gov.uk/visas ... n/working/

I also did some more digging and found that there are several factors that will affect your chances:
the length of time the applicant was married before the breakdown
the length of time the applicant has been resident in the UK
applicant’s age
proportion of time spent abroad before entering the UK, and
whether there are any children of the marriage.

You should try applying for Indefinite leave to remain in the United Kingdom as a person exercising rights of access to a child resident in the United Kingdom. A person exercising rights of access to a child resident would be eligible to apply for indefinite leave to remain provided that:
the applicant completed a period of 12 months as a person exercising rights of access to a child; and
the applicant takes and intends to continue to take an active role in the child’s upbringing; and
the child visits or stays with the applicant on a frequent and regular basis and the applicant intends this to continue.

Also note that if your current visa is dependent on your status as a spouse, the British spouse or spouse with settled status can inform the Home Office of the breakdown of the marriage during the 2-year probationary period and may seek the get the foreign spouse’s visa cancelled.

What visa do you currently hold? Have you consulted with a lawyer/solicitor at all? It is an expense, but may be necessary. Good luck!