After the completion of each Clan War, the results are reviewed and recorded through an automated process before entitlements are awarded.
Depending on the level of participation for a particular Clan War, it can take up to 72 hours for this process to take place and for entitlements to appear in-game.
Please note that rosters for Clan Wars are locked 24 hours prior to the beginning of each Clan War. Only players on Clan rosters 24 hours prior to the beginning of each Clan War are eligible for entitlements.
Be sure to enable notifications for the Call of Duty App to receive entitlement awarding updates at the conclusion of each Clan War.