You cannot be legally dismissed for suffering an injury at work. If your employer dismisses you for this reason, subject to you satisfying the requirement of a minimum period of employment, usually two years continuous employment with the employer’s company (or firm), you may be able to bring a claim for unfair dismissal.
The exception to this would be if you were injured as a result of your own misconduct; actions or inaction (failing to do something you should have done) that compromised the safety of you and your fellow workers. In this case your employer would be justified in dismissing you.
You cannot be dismissed for bringing a claim against the company where the injury sustained was due to the negligence and/or breach of statutory duty of your employer. Should you be dismissed for this reason, you would probably have grounds for bringing a claim for unfair dismissal in addition to your claim for personal injury compensation as a result of the workplace accident. See also our blog ‘Injured in an accident at work? It is ok to claim.’