There is no maximum age by which you need to take an income from your pension pot (it used to be 75). However, if you continue to pay into your pension after the age of 75, you will no longer get any tax relief on your contributions. You can take your personal pension regardless of whether you are receiving the State Pension and/or are still working.
Although you can currently take your pension at any point from the age of 55, you should bear in mind that your pension provider may manage your pension by taking into account when they expect you to retire. Up to a decade before you retire your pension provider may start to move your pot from riskier investments to safer ones, in order to protect the gains you will have made over your lifetime. This is sometimes called 'lifestyling', and tends to apply to all stakeholder pensions as well as some personal pensions.
If you're not planning to retire until later, it may be an idea to tell your pension provider so that you can continue to benefit from higher potential returns for longer. This would of course come with the higher risk of your pension fund losing value, if an investment performs badly.