Upas-tree on the other side from a river ?N?I?R
Noah's son's children lack energy for strikes ?M?T?S
Help with housework to gratify ?B???E
Policeman on regular beat ?I?T???T
This explains the bind connection, but can't find any connection to housework.
Oblige derived via Middle English and Anglo-French from Latin obligare ("to bind to"), a combination of ob- ("to or toward") and ligare ("to bind")