Através de clan operations e clan challenges. Infelizmente estes ainda não estão activos, como tal ainda não é possivel ganhar xp nos clãs.
What are Clan Operations?
Clan operations are similar to lone wolf operations in that they score premium players for certain stats in certain game modes for specific amounts of time. Operations can range from “Most Team Deathmatch Kills” to “Most Captures in Domination,” generally last for three to four hours, and award real prizes and Elite badges.
The two key differences between clan operations and lone wolf operations are that clan operations score members of clans instead of independent players, and clan operations award Clan XP.
What are clan challenges?
Clan Challenges represent both in-game and ELITE milestones that reward Clan XP as well as in-game emblems upon completion. Challenges range from passive milestones, such as the number of days the Clan has existed, to more active achievements, such as winning a certain number of matches with at least six Clan members on the team.
Most Challenges are multi-tiered, with higher tiers rewarding larger amounts of Clan XP. Complete the first tier of a Challenge to unlock the second, and so on up until the final tier unlocks. Completing the final tier of any Challenge rewards all members of the Clan with a new in-game title or emblem.
Ainda não estão a funcionar.
Se fores ao separador de clãs diz Coming Soon, temos que esperar 
https://elite.callofduty.com/connect#clans
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