an act of reenlisting.
a person who reenlists: We've gained 3000 reenlistments this month.
the period of service following a reenlistment: His reenlistment is three years.
Also, re-enlistment.

1840–50; re- + enlistment Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
Cite This Source Link To reenlistment
Example sentences
Reenlistment rates, however, depend on future changes in both civilian
  unemployment and relative military pay.
Since there is no limitation on amounts excluded for enlisted members, the
  entire reenlistment bonus would be excluded.
Special pay, such as reenlistment bonuses, is also tax-free if the service
  member reenlists in a combat zone.
Reenlistment rates are up, and several services have asked for increases in
  their budgets to reflect improved retention.
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