Dear friend,
What is the exact meaning of follow-up job? Who was expected do follow up and of whom?
Leave is defined as "absence from work or duty". Now in the course of absence, employee is not expected to do any direct or indirect duties. If he/she starts working while on leave then what is difference between while at work and leave?
Above explanation apart, designation of a person also matters. Sometimes, senior managers continue to remain connected with their work while on leave also. Nevertheless, making a person to work even while on leave speaks about poor culture of the company. The real strength of a manager lies ensuring that everything goes smoothly even at his/her absence. These kind of issues arise when there is very less manpower and the work is person-centric and not process-centric.
All said and done, finally it depends on the subordinates how to maintain relationship with his/her boss. If it is required to do follow up so as to keep the boss in good humour then it is better to fall in line and accept the demands of the boss!
Thanks,
Dinesh Divekar