To move LOB column of a partition table to a new Tablespace in the same Database use bellow approach.
alter table Schema_name.Table_name move partition Partition_ name lob(Column_name) store as (tablespace Tablespace_name);
Replace red marked names with Object names in your ENV.
Schema_name = Schema of the table of which you want to move the Lob column to new Tablespace.
Table_Name = Table name of which you want to move the Lob column to new Tablespace.
Partition_name= Partition name of the Table if you just want to move column of a specific partition.
Tablespace_name= Name of the table space where you want to move the Lob column.
To check the tablespace name after column move user below.
select TABLE_NAME,COLUMN_NAME,PARTITION_NAME,LOB_PARTITION_NAME,TABLESPACE_NAME
from dba_lob_partitions where table_name='TABLE_NAME';
