re-engagement
/ˌriːɪnˈɡeɪdʒm(ə)nt/ /ˌriːɛnˈɡeɪdʒm(ə)nt/ /ˌriːɪŋˈɡeɪdʒm(ə)nt/noun
A renewed engagement; fresh or further engagement.
Origin
Mid 17th century; earliest use found in Daniel Cawdrey (d. 1664), Church of England clergyman and ejected minister. From re- + engagement, after re-engage.