Lighttpd does NOT automatically reload OCSP responses; you have to restart to load new OCSP responses (a cron job is probably the right way to do it).
If you have your certificate and the issuer-certificate (the one that signed yours) in separate files you can request an OCSP response like that (using the GnuTLS "certtool"):
If you have your certificate and the issuer-certificate (the one that signed yours) in separate files you can request an OCSP response like that (using the GnuTLS "ocsptool"):