Two ways are fairly common:
1. Use the Oracle Export utility to dump the table out of the first database and the Import utility to pull it into the other.
2. Set up a database link between the two databases, then use a CREATE TABLE ... AS ... command to recreate the table in the second database.
If your database link was called db1, then it would look like this:
CREATE TABLE cloned_table AS SELECT * FROM base_table@db1;
Note that method 1 allows you to also transport indexes, triggers, constraints, etc while method #2 only recreates the table structure and then inserts the data. Also, it can generate a lot of network traffic.