Exactly, as John and Rick have said:
Youd be watching an endless loop that would be the moved file.
Demo:
First window:
alphard:..adm/syslog>cat syslog.log >>titi
alphard:..adm/syslog>mv titi tutu
alphard:..adm/syslog>ll
total 2812
-rw-r--r-- 1 root root 10729 Oct 13 20:29 OLDsyslog.log
-r--r--r-- 1 root root 1307538 Oct 15 15:37 mail.log
-rw-r--r-- 1 root root 14729 Oct 17 11:33 syslog.log
-rw-rw-rw- 1 root sys 17346 Oct 17 19:07 tutu
alphard:..adm/syslog>date >> tutu
alphard:..adm/syslog>date >> tutu
alphard:..adm/syslog>date >> tutu
alphard:..adm/syslog>
2nd window:
119537667 -a
Oct 16 09:14:52 alphard ftpd[2603]: FTP LOGIN FROM 160.53.92.88 [160.53.92.88], patrol
Oct 16 09:35:06 alphard ftpd[2603]: exiting on signal 14
Oct 16 18:57:29 alphard : su : + ttyp4 vbe-logadm
Oct 16 19:11:51 alphard : su : + ta oracle-root
Oct 16 19:18:16 alphard : su : + ta oracle-dbatrd2
Oct 16 19:26:49 alphard : su : + ta oracle-root
Oct 17 11:33:41 alphard bootpd[28558]: bootpd 2.4 #1.17.112.7: Wed Apr 14 05:09:15 GMT 1999
Oct 17 11:33:42 alphard bootpd[28558]: reading "/etc/bootptab"
Oct 17 11:33:42 alphard bootpd[28558]: read 2 entries from "/etc/bootptab"
Tue Oct 17 19:07:52 METDST 2000
Tue Oct 17 19:07:58 METDST 2000
Tue Oct 17 19:08:01 METDST 2000