Aside from the fairly remote possibility of SQS incorrectly delivering the same message more than once (which you still need to account for, even though it is unlikely), I suspect your question stems from a lack of familiarity with SQS's concept of "visibility timeout."
Immediately after the component receives the message, the message is still in the queue. However, you don't want other components in the system receiving and processing the message again. Therefore, Amazon SQS blocks them with a visibility timeout, which is a period of time during which Amazon SQS prevents other consuming components from receiving and processing that message.
http://docs.aws.amazon.com/AWSSimpleQueueService/latest/SQSDeveloperGuide/AboutVT.html
This is what keeps multiple queue runners from seeing the same message. Once the visibility timeout expires, the message will be delivered again to a queue consumer, unless you delete it, or it exceeds the maximum configured number of deliveries (at which point it's deleted or goes into a separate dead letter queue if you have configured one). If a job will take longer than the configured visibility timeout, your consumer can also send a request to SQS to change the visibility timeout for that individual message.
Update:
Since this answer was originally written, SQS has introduced FIFO Queues in some of the AWS regions. These operate with the same logic described above, but with guaranteed in-order delivery and additional safeguards to guarantee that occasional duplicate message delivery cannot occur.
FIFO (First-In-First-Out) queues are designed to enhance messaging between applications when the order of operations and events is critical, or where duplicates can't be tolerated. FIFO queues also provide exactly-once processing but are limited to 300 transactions per second (TPS).
http://docs.aws.amazon.com/AWSSimpleQueueService/latest/SQSDeveloperGuide/FIFO-queues.html
Switching an application to a FIFO queue does require some code changes, and requires that a new queue be created -- existing queues can't be changed over to FIFO.
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