In the JDI API spec there is no description about setting accesswatchpoint for a final field.
When set, there is no event generated.

Steps to verify
---------------
1. Compile the attached file with -g option.
2. Open a terminal and set LD_LIBRARY_PATH=/usr/local/java/jdk1.3/solaris/lib/sparc/
3. Run
java -classic -Xdebug -Xnoagent -Djava.compiler=NONE -Xrunjdwp:transport=dt_socket,server=y,suspend=y,address=5670 FinalFld
4. open another terminal and set LD_LIBRARY_PATH=/usr/local/java/jdk1.3/solaris/lib/sparc/

5. and Run jdb -classic -attach 5670

6. when the jdb prompt is there
type
watch access FinalFld.fileName

for which the Field Access event is fired
and when you do the same steps for

watch access FinalFld.fileName4

Events are not generated.