How is the 儿 ending pronounced outside Beijing? When Beijingers use words like 一点儿, the ending syllable will be very pronounced as far as I understand, and I'm aware that this is a typical feature of the Beijing dialect. But how is it pronounced in the rest of China? Is there no "er" sound there at all, or is it only there for special cases "e.g. 一点儿"?
In MOST cases... Outside of Beijing, in texts, I believe the 儿 is still pronounced. But you can be sure that in spoken Chinese, it will never be pronounced (unless some kids are trying to mock the access by over accentuating it).
I said in MOST cases because there are some words that have simply been adopted by non-Beijing'ers and will always be pronounced with a 儿, and would sound weird otherwise.
Examples: Some Beijing phrases may be somewhat disseminated outside Beijing:
抠门儿 kōumér – stingy, miserly (may be used even outside Beijing) 

So whether you're from Beijing or not, you will always pronounce and write this word as 抠门儿 kōumér.
The closest I can come to describing this in American English is how we pronounce certain areas/things in the actual dialectical origin of that word. For example, we say &quot;New Orleans&quot; as someone from New Orleans would say it: &quot;Norlins&quot; even though we're not from New Orleans necessarily. If you say &quot;New Orleans&quot; and pronounce every syllable, it would sound weird to anyone... native or not to New Orleans.

EDIT: a better example is Louisville Kentucky. EVERYONE pronounces Louisville as &quot;Louville&quot;.