"To renew that commitment" means to reaffirm or restate one's dedication or promise to something or someone. It implies that the commitment was made before, but now it is being emphasized and revived. Full definition
We must work, hope and pray for his release from such constraints, so that he — and we — can turn with renewed commitment to the holy tasks of justice and love. (religion-online.org)
I viewed it as our last chance to renew our commitment by choice, not just because of the economic or logistical constraints of marriage. (brainchildmag.com)
The study documents benefits of arts integrated instruction identified by the teachers, including renewing their commitment to the teaching profession and giving them resilience to face the growing demands in today's schools. (artsedsearch.org)