I have configured a demo system for this purpose among others. The asa terminates anyconnect ssl vpn sessions for thin and thick clients as well as mobile clients and ssl capable cisco ip phones. There is absolutely nothing out of the ordinary configuration regarding mobile device with anyconnect client and a jabber client ( cisco jabber ).
If you can connect the pc-based anyconnect client, then you probably do not have the mobile license installed on the asa.
If you have purchased premium or essentials license, you can obtain the trial mobile license from cisco.
Check out the asa documentation, regarding licensing model and compatibility matrix for your asa model and software release.
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