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.