You can use [`pg_column_size()`][1] to get the size of a complete row, not only for a single column.

So to find the size of all rows for a specific customer, you can use something like this:

    select sum(pg_column_size(t) + 24) 
    from the_table t
    where customer_id = 42;

(The 24 is the storage overhead per row in a table)

You would need to do that for all tables you are interested in. 

This does however not include the size of those rows in the indexes.


  [1]: https://www.postgresql.org/docs/current/static/functions-admin.html#FUNCTIONS-ADMIN-DBSIZE