You will first need to be fully sure that you can validly claim your travel costs as an expense for your company. If you're simply commuting to and from a fixed place of work, Revenue are likely to contend that you shouldn't claim these costs as an expense.
On the other hand, if you are travelling to and from a variety of locations away from a fixed place of work, you will be in a much stronger position to defend these claims, if they are challenged.
If your company is paying for your TaxSaver ticket, there may be a need for you to make an adjustment in your accounts to take personal (non-business) use into account.