As a full time employee in the UK, getting to your regular workplace is up to you and not tax deductible. If you have to go to another place, then travel from your workplace to that other place is tax deductible.
If you got a position for example where you work at the company's offices at A every monday, and then from tuesday to friday you go off to a different place, one week to B, one week to C, and so on, then the travel to A is not tax deductible, but the travel to B and C is.
On the other hand, if you decided to get a job 300 miles away from home, and you can work one or two days a week from home but then go three or four days to your regular workplace 300 miles away, that's solely your problem. Nothing is tax deductible.
On the other hand, should you decide to become self employed or start your own limited company, then all this cost is tax deductible.