@Coddiwomple Please don't minimise the impact that eczema has.
I've had it all my life - I'm in my mid 50s now.
I well remember having to have my hands bandaged up to go to school and being called Mr Rusty by the other kids...
It improves for a while then gets worse again and we can't just keep using steroid cream for years as it thins the skin.
At the moment I'm waiting for a patch yet - I was referred for it last September, I had to postpone the first one in Feb due to a family funeral, the hospital cancelled the second try in April as the doctor was ill and it's now scheduled for September - a full year after I got referred.
In the mean time I work at home as much as possible as I don't want to have to cover up my sore blotchy face with makeup so I don't get stared at on my 90 minute commute,
At home I can be keep putting cream on so that my skin literally doesn't split.
On a good day, it's just a bit flaky.
On a bad day, it's intolerably itchy so I have to take anti-histamines, it's blotchy and swollen, my hands and feet crack so it's often bleeding, and often I wake up to find I've scratched myself so much in the night that there is blood on the sheets.
I avoid social events on the days that my skin is bad, because it affects my confidence.
So please don't act like the OP is being unreasonable and taking time off work because of a little patch of dry skin.
If it was just that, I'd be so happy.....