Should we be fussed about our employer share price

At your level you really shouldn't be fussed about much besides not fucking up. If shit really goes south it's going to affect the more expensive employees (VPs, Directors, unproductive MDs) way sooner than it affects the existing analyst class. 

As an employee you should always *know* your own share price and the prices of competitors.
But worry about it? only if they have lost value beyond any return and if there is something structurally wrong about how they are carrying out business. Which is possible, but unlikely I'd say.

I once joined a company that lost 80% in value within a few weeks and some of the management decisions weren't right. Needless to say, many of us were laid off and they are currently in a hostile takeover situation.

Literally every stock is down bad this year, including financials. BBs are probably in a *slightly* better position because of the insane capital requirements they have. But no bank is going to cut the analyst class at all, they need you guys to do work and you are dirt cheap. VPs are first to go in a recession, and don't think any banks are really making big cuts anyway since they are coming out of a year and a half of a massive hiring shortage. FYI, the hiring market is only slowing down from literal record highs of "we will hire anyone with a pulse and some semblance of experience", and receding back to "you have to be somewhat qualified to lateral in". You are totally fine, stop looking at the share price.

Would definitely say don't expect another year of record bonuses though