1. To come to a person as a gain, an addition, or an increment: "She was happy to see interest accruing in her savings account."

"People who have money in the bank are hoping that interest will accrue or grow as the years pass; so, there are those who count on the accretion of their capital."

2. To increase, to accumulate, or to come about as a result of some kind of growth: "He was told that common sense usually accrues with experience."
3. To come into existence as a claim that is legally enforceable: "Interest on his home loan is accruing and must be paid each month or he could lose his property."
4. To accumulate over time: "They are accruing more time off for their vacations."