You're confusing concepts. Log chain has to do with whether you can do point in time restores (restore a database to any time) using RESTORE DATABASE and RESTORE LOG.
Recovery (restart recovery) is a process that all databases have to go through on startup, regardless of recovery model or backups. It's to bring the database to a consistent state.
As I mentioned earlier
It's called restart recovery and it's required to ensure that the databases are all transactionally consistent. It shouldn't take long. If it does then either your log is badly configured (too many VLFs) or there's IO bottleneck problems on the log and/or data drive, or there's something else hindering checkpoints or recovery.
Have you messed with the recovery interval setting? (sp_configure)
Gail Shaw
Microsoft Certified Master: SQL Server, MVP, M.Sc (Comp Sci)
SQL In The Wild: Discussions on DB performance with occasional diversions into recoverability