ls -ltu --time-style=+%H:%M:%S yourfile

ls -ltu yourfile

ls -etu yourfile # I guess this could be near of what you want

Reference: man ls in SunOS 5.10
     -e           The same as -l, except  displays  time  to  the
                  second,  and  with  one  format  for  all files
                  regardless of age: mmm dd hh:mm:ss yyyy.

     -E           The same as -l, except  displays  time  to  the
                  nanosecond  and  with  one format for all files
                  regardless       of       age:       yyyy-mm-dd
                  hh:mm:ss.nnnnnnnnn (ISO 8601:2000 format).

                  In addition, this option  displays  the  offset
     -l           Lists in long format, giving mode, ACL  indica-
                  tion,  number  of  links, owner, group, size in
                  bytes, and time of last modification  for  each
                  file  (see  above).  If  the  file is a special
                  file, the size field instead contains the major
                  and  minor  device numbers. If the time of last
                  modification is greater than six months ago, it
                  is  shown  in  the format `month date year' for
                  the  POSIX  locale.  When  the  LC_TIME  locale
                  category is not set to the POSIX locale, a dif-
                  ferent format of the time field  can  be  used.
                  Files  modified  within  six months show `month
                  date time'. If the file is a symbolic link, the
                  filename  is  printed  followed by "->" and the
                  path name of the referenced file.

     -t           Sorts by time stamp (latest first)  instead  of
                  by  name.  The default is the last modification
                  time. (See -u and -c.)

     -u           Uses time of last access instead of last modif-
                  ication  for  sorting  (with  the -t option) or
                  printing (with the -l option).