There are several methods to do this;
1) export the table, drop the table, create the table definition in the new
tablespace, and then import the data (imp ignore=y).
2) Create a new table in the new tablespace with the CREATE TABLE statement AS SELECT all from source table command:
CREATE TABLE temp_name TABLESPACE new_tablespace AS SELECT * FROM source_table;
Then drop the original table and rename the temporary table as the original:
DROP TABLE real_table;
RENAME temp_name TO real_table;