To my knowledge the only date that you can get is the last analyzed date.

Code:
  1  select owner, table_name, column_name
  2    from dba_tab_columns where data_type='DATE'
  3     and table_name like '%IND%'
  4*    and owner='SYS'
SQL> /

OWNER TABLE_NAME                     COLUMN_NAME
----- ------------------------------ -------------
SYS   ALL_INDEXES                    LAST_ANALYZED
SYS   ALL_IND_PARTITIONS             LAST_ANALYZED
SYS   ALL_IND_SUBPARTITIONS          LAST_ANALYZED
SYS   DBA_INDEXES                    LAST_ANALYZED
SYS   DBA_IND_PARTITIONS             LAST_ANALYZED
SYS   DBA_IND_SUBPARTITIONS          LAST_ANALYZED
SYS   IND$                           ANALYZETIME
SYS   IND$                           SPARE6
SYS   INDCOMPART$                    ANALYZETIME
SYS   INDPART$                       ANALYZETIME
SYS   INDSUBPART$                    ANALYZETIME
SYS   KU$_INDEX_COL_VIEW             SPARE6
SYS   KU$_INDEX_VIEW                 ANALYZETIME
SYS   KU$_INDEX_VIEW                 SPARE6
SYS   KU$_IND_COMPART_VIEW           ANALYZETIME
SYS   KU$_IND_PART_VIEW              ANALYZETIME
SYS   KU$_IND_SUBPART_VIEW           ANALYZETIME
SYS   USER_INDEXES                   LAST_ANALYZED
SYS   USER_IND_PARTITIONS            LAST_ANALYZED
SYS   USER_IND_SUBPARTITIONS         LAST_ANALYZED

20 rows selected.