Does the Oysterquartz have an EOL (end of life) indicator for the battery?
While some modern quartz movements have EOL indicators for the battery (such as the second hand moving in two-second increments), the 5035 and 5055 do not. The most common “symptom” of a battery nearing its end of life in an Oysterquartz is erratic timekeeping. The typical accuracy for an OQ is +/-2 to 5 seconds per month. If you start getting significantly more drift than this, the battery is probably about to go.