In the ordinary sense, renunciation is often connected with asceticism. You give up the sense pleasures of the world and embrace an austere spiritual life in order to understand the higher meaning of existence. In the Shambhala context, renunciation is quite different. What the warrior renounces is anything in his experience that is a barrier between himself and others. In other words, renunciation is making yourself more available, more gentle and open to others. Any hesitation about opening yourself to others is removed.
Chögyam Trumpa, The Sacred Path of the Warrior