Does dream recall disturb the processes of memory consolidation? Psychology in the time of Freud was occupied with dreams.  Relaying these to one's analyst was an important part of treatment.
Fast-forward to less than 100 years later, and we know so much about the importance of sleep in consolidating memories during REM [1][2] and slow-wave sleep [3] (among countless other references I have omitted).
Let us assume dreaming is largely relegated to REM (ignoring dreams experienced during stage 2 sleep). If we recall our dreams at a later time then is it detrimental to any subsequent process of memory consolidation?
If our dream represents a state through which our brain is passing to consolidate memory, what is the effect of recalling that intermediate state and potentially storing it back in long-term memory?

References

Ishikawa A, Kanayama Y., et al (2006). Selective rapid eye movement sleep deprivation impairs the maintenance of long-term potentiation in the rat hippocampus. Eur J Neurosci.,24 (1),243-8.

Louie K, Wilson MA. (2001). Temporally structured replay of awake hippocampal ensemble activity during rapid eye movement sleep. Neuron,29 (1),145-56. FREE PDF

Ji D, Wilson MA (2007) Coordinated memory replay in the visual cortex and hippocampus during sleep. Nat Neurosci, 10(1),100-7. FREE PDF
I am not aware of any study that specifically addresses dream recall, but there is a growing literature about "memory reconsolidation" or "post-reactivation plasticity", the idea that memory reactivation (recall) can temporarily return a memory to a state of high fragility and susceptibility to interference, after which a process similar to consolidation makes it more resistent again. Most  memory reconsolidation work has been with animals, but there are a few studies with human subjects [1][2]. [3] is an interesting paper about (re)consolidation of motor memory during slow-wave sleep. [4] and [5] are good reviews of the field.

[1] Hupbach, A., Gomez, R., Hardt, O., &amp; Nadel, L. (2007). Reconsolidation of episodic memories: A subtle reminder triggers integration of new information. Learning &amp; Memory, 14(1-2), 47 -53. doi:10.1101/lm.365707

[2] Forcato, C., Burgos, V. L., Argibay, P. F., Molina, V. A., Pedreira, M. E., &amp; Maldonado, H. (2007). Reconsolidation of declarative memory in humans. Learning &amp; Memory, 14(4), 295-303. doi:10.1101/lm.486107

[3] Walker, M. P., Brakefield, T., Hobson, J. A., &amp; Stickgold, R. (2003). Dissociable stages of human memory consolidation and reconsolidation. Nature, 425(6958), 616–620. doi:10.1038/nature01930

[4] Nader, K., &amp; Hardt, O. (2009). A single standard for memory: the case for reconsolidation. Nature Reviews Neuroscience, 10, 224–234. doi:10.1038/nrn2590

[5] Schiller, D., &amp; Phelps, E. A. (2011). Does Reconsolidation Occur in Humans? Frontiers in Behavioral Neuroscience, 5. doi:10.3389/fnbeh.2011.00024