To remove the old constraints, you would need to drop them via an ALTER TABLE statement.
To recap, if the objective is to move a table from one table space to another, you would need to do the following (one of the methods):
Create a new table like the old one (CREATE LIKE) and specify the new tablespace location. Use the same schema name, but a different table name.
Move the data with a INSERT INTO new-table SELECT * FROM old-table
Rename the old table to something different.
Rename the new table to the name of the old table.
Create any Primary and foreign keys as exist in the old table. Create any other indexes that exist on the old table. db2look can be used for this.
Drop the old table.
Hope this helps.